# Analogue and Digital Converters

Discussion in 'Homework Help' started by Hello, Dec 18, 2008.

1. ### Hello Thread Starter Active Member

Dec 18, 2008
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A 12-bit D/A converter has a step size of 10mV. Determine the full-scale output voltage.

Any help is greatly appreciated.

2. ### mik3 Senior Member

Feb 4, 2008
4,846
63

[(12^2)-1]*10mV

3. ### hgmjr Moderator

Jan 28, 2005
9,030
214
Did you mean?

[(2^12)-1]*10mV

hgmjr

4. ### mik3 Senior Member

Feb 4, 2008
4,846
63
Ohh yes!!! Thanks hgmjr.

5. ### Hello Thread Starter Active Member

Dec 18, 2008
82
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How did u get to the answer?
How is FFF converted to 4095 or [2^12 - 1]?

I do mechanical eng. so im not that good at elec. !

I would appreciate it if u went a bit more in detail.

6. ### mik3 Senior Member

Feb 4, 2008
4,846
63
FFF is hexadecimal. In binary FFF equals 111111111111 (twelve 1, four 1 for each F). A 12 bit DAC has (2^12)-1 output voltage steps.

7. ### Hello Thread Starter Active Member

Dec 18, 2008
82
0
Ok but how did you convert 111111111111 in decimal i.e. (2^12 -1)?
And why multiply (2^12 -1) with the step size inorder to find the F.S. output voltage?!

Sorry to bother you again.

8. ### mik3 Senior Member

Feb 4, 2008
4,846
63
If you read about binary numbers you will find out how you convert it.
If you imagine the output voltage divided into discrete values (steps) and not in a continuous analogue form, and each step equals 10mV then the maximum output voltage is the number of steps times 10mV.

9. ### Hello Thread Starter Active Member

Dec 18, 2008
82
0
Thanks for your help, really appreciate it.